Convert fen(市分) to cun(寸)

Learn how to convert 1 fen(市分) to cun(寸) step by step.

Calculation Breakdown

Set up the equation

1.0 (f e n (市 分)) = x (c u n (寸))

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (f e n (市 分)) = \frac{1.0}{3.0 \times 10^{2}} (m e t e r) = \frac{1.0}{3.0 \times 10^{2}} (m)

Right side: 1.0 (c u n (寸)) = \frac{1.0}{30.0} (m e t e r) = \frac{1.0}{30.0} (m)

Insert known values into the conversion equation to determine

x

1.0 (f e n (市 分)) = x (c u n (寸))

Insert known values =>

1.0 \times \frac{1.0}{3.0 \times 10^{2}} \times (m e t e r) = x \times \frac{1.0}{30.0} \times (m e t e r)

Or

1.0 \cdot \frac{1.0}{3.0 \times 10^{2}} \cdot (m) = x \cdot \frac{1.0}{30.0} \cdot (m)

Cancel SI units

1.0 \times \frac{1.0}{3.0 \times 10^{2}} \cdot (m) = x \times \frac{1.0}{30.0} \times (m)

Conversion Equation

\frac{1.0}{3.0 \times 10^{2}} = x \times \frac{1.0}{30.0}

Cancel factors on both sides

Cancel factors

\frac{1.0}{3.0 \times 10^{2}} = x \times \frac{1.0}{30.0}

Switch sides

x \times \frac{1.0}{30.0} = \frac{1.0}{3.0 \times 10^{2}}

Isolate

x

Multiply both sides by

(\frac{30.0}{1.0})

x \times \frac{1.0}{30.0} \times \frac{30.0}{1.0} = \frac{1.0}{3.0 \times 10^{2}} \times \frac{30.0}{1.0}

Cancel

x \times \frac{1.0 \times 30.0}{30.0 \times 1.0} = \frac{1.0 \times 30.0}{3.0 \times 10^{2} \times 1.0}

Simplify

x = \frac{30.0}{3.0 \times 10^{2}}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times 30.0}{3.0}

Solve

x

x = 10 \times 10^{- 2}

Conversion Equation

1.0 (f e n (市 分)) = 10 \times 10^{- 2} (c u n (寸))

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